Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544cv |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1419600048685056 = -1 · 221 · 39 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9396,-1778544] |
[a1,a2,a3,a4,a6] |
j |
17779581/275128 |
j-invariant |
L |
0.9373904691033 |
L(r)(E,1)/r! |
Ω |
0.23434762056095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544q2 17136o2 68544da1 |
Quadratic twists by: -4 8 -3 |